They now have the liquid nitrogen sticks available at most supermarkets. LN is what the doctor, at least used to, uses on warts to cause them to blister up and fall off.

This is what LN is supposed to do, as long as the freeze is deep enough so it'll blister off all of the wart/cyst. Do not pop the blister; it'll be there for awhile (and will more than likely become dark with blood).

I wouldn't try any over the counter shit on your face, and I DEF wouldn't try clipping that fucker off. If it's a wart, it could have roots or anything, and grow back. You could get a severe infection, and develop complications. Make an appointment with a dermatologist.